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504422221345240 = 2351129148926549041
BaseRepresentation
bin111001010110001001111001…
…1010100011111000111011000
32110011000021220220020000102011
41302230103303110133013120
51012103423202131021430
64544452211444315304
7211151205610246102
oct16254236324370730
92404007826200364
10504422221345240
111367a7298764370
12486a84a53a2b34
131885ca7176b543
148c7c246c7a572
153d4b2a605422a
hex1cac4f351f1d8

504422221345240 has 128 divisors (see below), whose sum is σ = 1281681551592000. Its totient is φ = 176982272409600.

The previous prime is 504422221345193. The next prime is 504422221345313. The reversal of 504422221345240 is 42543122224405.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 504422221345193 and 504422221345202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5725120 + ... + 32274160.

Almost surely, 2504422221345240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504422221345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640840775796000).

504422221345240 is an abundant number, since it is smaller than the sum of its proper divisors (777259330246760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

504422221345240 is a wasteful number, since it uses less digits than its factorization.

504422221345240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26550581 (or 26550577 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 504422221345240 its reverse (42543122224405), we get a palindrome (546965343569645).

The spelling of 504422221345240 in words is "five hundred four trillion, four hundred twenty-two billion, two hundred twenty-one million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1489 1595 2552 2978 3190 5956 6380 7445 11912 12760 14890 16379 29780 32758 43181 59560 65516 81895 86362 131032 163790 172724 215905 327580 345448 431810 474991 655160 863620 949982 1727240 1899964 2374955 3799928 4749910 9499820 18999640 26549041 53098082 106196164 132745205 212392328 265490410 292039451 530980820 584078902 769922189 1061961640 1168157804 1460197255 1539844378 2336315608 2920394510 3079688756 3849610945 5840789020 6159377512 7699221890 8469144079 11681578040 15398443780 16938288158 30796887560 33876576316 39531522049 42345720395 67753152632 79063044098 84691440790 158126088196 169382881580 197657610245 316252176392 338765763160 395315220490 434846742539 790630440980 869693485078 1146414139421 1581260881960 1739386970156 2174233712695 2292828278842 3478773940312 4348467425390 4585656557684 5732070697105 8696934850780 9171313115368 11464141394210 12610555533631 17393869701560 22928282788420 25221111067262 45856565576840 50442222134524 63052777668155 100884444269048 126105555336310 252211110672620 504422221345240